Least Common Multiple of 1349/337, 6001/8363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1349/337, 6001/8363 quickly i.e. 8095349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1349/337, 6001/8363 is 8095349.

LCM(1349/337, 6001/8363) = 8095349

LCM of 1349/337, 6001/8363

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1349/337,6001/8363

Given numbers are 1349/337,6001/8363

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1349,6001

Least Common Multiple of Numerators i.e. LCM of 1349,6001 is 8095349.

GCF of Denominators means GCF of 337,8363 as per the given fractions.

GCF of 337,8363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1349,6001

LCM of Fractions 1349/337,6001/8363 is 8095349

Given numbers has no common factors except 1. So, there LCM is their product i.e 8095349

Least Common Multiple of 1349,6001 with GCF Formula

Least Common Multiple of 1349,6001 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1349,6001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1349,6001) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1349,6001) x common factors =1 x 1 = 1

LCM(1349,6001) = ( 1349 × 6001 ) / 1

LCM(1349,6001) = 8095349 / 1

LCM(1349,6001) = 8095349


Lets's calculate GCF of 337,8363

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8095349/1

Therefore the LCM of Fractions 1349/337,6001/8363 is 8095349

Greatest Common Factor of 337,8363 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,8363 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1,8363

Greatest Common Factor

We found the factors 337,8363 . The biggest common factor number is the GCF number.
So the greatest common factor 337,8363 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1349/337, 6001/8363

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1349/337, 6001/8363?

Answer: LCM of Numerators as per given numbers 1349/337, 6001/8363 is

LCM of Numerators i.e. for 1349,6001 is 8095349

GCF of denominators i.e. for 337,8363 is 1.

Thus, LCM of Fractions is 8095349.Finally, LCM of Fractions for 1349/337, 6001/8363 is 8095349.